105872005318 has 64 divisors (see below), whose sum is σ = 175011508224. Its totient is φ = 47876400000.

The previous prime is 105872005303. The next prime is 105872005427. The reversal of 105872005318 is 813500278501.

It is a super-2 number, since 2×105872005318² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18967288 + ... + 18972868.

It is an arithmetic number, because the mean of its divisors is an integer number (2734554816).

Almost surely, 2^105872005318 is an apocalyptic number.

105872005318 is a deficient number, since it is larger than the sum of its proper divisors (69139502906).

105872005318 is a wasteful number, since it uses less digits than its factorization.

105872005318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941.

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 105872005318 in words is "one hundred five billion, eight hundred seventy-two million, five thousand, three hundred eighteen".